{"id":"https://openalex.org/W2793932477","doi":"https://doi.org/10.1080/00207721.2018.1432781","title":"A Galerkin discretisation-based identification for parameters in nonlinear mechanical systems","display_name":"A Galerkin discretisation-based identification for parameters in nonlinear mechanical systems","publication_year":2018,"publication_date":"2018-02-02","ids":{"openalex":"https://openalex.org/W2793932477","doi":"https://doi.org/10.1080/00207721.2018.1432781","mag":"2793932477"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2018.1432781","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2018.1432781","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013928795","display_name":"Zuolin Liu","orcid":"https://orcid.org/0000-0002-6874-8432"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zuolin Liu","raw_affiliation_strings":["School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100743369","display_name":"Jian Xu","orcid":"https://orcid.org/0000-0002-3521-6843"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jian Xu","raw_affiliation_strings":["School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100743369"],"corresponding_institution_ids":["https://openalex.org/I116953780"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03108869,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"49","issue":"5","first_page":"908","last_page":"919"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13717","display_name":"Advanced Algorithms and Applications","score":0.9675999879837036,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11749","display_name":"Iterative Learning Control Systems","score":0.9556000232696533,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.7485707998275757},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7203699946403503},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7062606811523438},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.6025209426879883},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5639389753341675},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5585802793502808},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5528315901756287},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5080552101135254},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5061692595481873},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.48368746042251587},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.47611624002456665},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4365565776824951},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.42497774958610535},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4239279627799988},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3216764032840729},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19830283522605896},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10087600350379944},{"id":"https://openalex.org/keywords/data-modeling","display_name":"Data modeling","score":0.09687003493309021}],"concepts":[{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.7485707998275757},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7203699946403503},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7062606811523438},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.6025209426879883},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5639389753341675},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5585802793502808},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5528315901756287},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5080552101135254},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5061692595481873},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.48368746042251587},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.47611624002456665},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4365565776824951},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.42497774958610535},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4239279627799988},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3216764032840729},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19830283522605896},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10087600350379944},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.09687003493309021},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207721.2018.1432781","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2018.1432781","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tsysxx:v:49:y:2018:i:5:p:908-919","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2018.1432781","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1848756658","display_name":null,"funder_award_id":"11572224, 11772229","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321125","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56"},{"id":"https://openalex.org/F4320321883","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53"},{"id":"https://openalex.org/F4320322449","display_name":"Tongji University","ror":"https://ror.org/03rc6as71"},{"id":"https://openalex.org/F4320322701","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1965638606","https://openalex.org/W1966365233","https://openalex.org/W1987564228","https://openalex.org/W1987868875","https://openalex.org/W1989466762","https://openalex.org/W1991162950","https://openalex.org/W2016920162","https://openalex.org/W2038921485","https://openalex.org/W2049783129","https://openalex.org/W2059050978","https://openalex.org/W2060336128","https://openalex.org/W2092369818","https://openalex.org/W2096449015","https://openalex.org/W2098515605","https://openalex.org/W2118819001","https://openalex.org/W2121715409","https://openalex.org/W2125834060","https://openalex.org/W2196660549","https://openalex.org/W2270379410","https://openalex.org/W2279708372","https://openalex.org/W3021971632","https://openalex.org/W4238586295"],"related_works":["https://openalex.org/W1967648380","https://openalex.org/W2133947431","https://openalex.org/W2490196280","https://openalex.org/W3182827720","https://openalex.org/W1596838019","https://openalex.org/W1995357705","https://openalex.org/W3208509670","https://openalex.org/W2100864966","https://openalex.org/W2109304297","https://openalex.org/W2743650898"],"abstract_inverted_index":{"In":[0,45],"the":[1,15,21,33,48,59,62,73,83,86,97,123],"paper,":[2],"a":[3,67],"new":[4],"parameter":[5],"identification":[6],"method":[7,102,133],"is":[8,26,54,66],"proposed":[9],"for":[10,78],"mechanical":[11,115],"systems.":[12,116],"Based":[13],"on":[14],"idea":[16],"of":[17,51,70,85,125],"Galerkin":[18],"finite-element":[19],"method,":[20],"displacement":[22],"over":[23,72],"time":[24,75],"history":[25],"approximated":[27],"by":[28,41,43],"piecewise":[29],"linear":[30,79,111,141],"functions,":[31],"and":[32,112,142],"second-order":[34],"terms":[35],"in":[36,110,139],"model":[37],"equation":[38],"are":[39],"eliminated":[40],"integrating":[42],"parts.":[44],"this":[46,132],"way,":[47],"lost":[49,63,87],"function":[50,64,88],"integration":[52,71],"form":[53],"derived.":[55],"Being":[56],"different":[57],"with":[58,92],"existing":[60],"methods,":[61],"actually":[65],"quadratic":[68],"sum":[69],"whole":[74],"history.":[76],"Then":[77],"or":[80,96,128],"nonlinear":[81,114,143],"systems,":[82],"optimisation":[84],"can":[89],"be":[90,104],"applied":[91],"traditional":[93],"least-squares":[94],"algorithm":[95],"iterative":[98],"one,":[99],"respectively.":[100],"Such":[101],"could":[103,134],"used":[105],"to":[106],"effectively":[107],"identify":[108],"parameters":[109],"arbitrary":[113],"Simulation":[117],"results":[118],"show":[119],"that":[120],"even":[121],"under":[122],"condition":[124],"sparse":[126],"data":[127],"low":[129],"sampling":[130],"frequency,":[131],"still":[135],"guarantee":[136],"high":[137],"accuracy":[138],"identifying":[140],"parameters.":[144]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
